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Finding the Third Proportional to 1,948,961,904 and 4,208,575,584

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Solution

The third proportional to 1,948,961,904 and 4,208,575,584 is: 9,087,970,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,961,904 : 4,208,575,584 = 4,208,575,584 : x
  2. Step 2: Convert to fraction form
    1,948,961,904/4,208,575,584 = 4,208,575,584/x
  3. Step 3: Cross multiply
    1,948,961,904x = 4,208,575,584 × 4,208,575,584
  4. Step 4: Simplify right side
    1,948,961,904x = 17,712,108,446,240,940,032
  5. Step 5: Solve for x
    x = 17,712,108,446,240,940,032/1,948,961,904
  6. Step 6: Final answer
    x = 9,087,970,580.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.